Abstract
We show that if A ⊂ {1,...,N} contains no non-trivial three-term arithmetic progressions then |A| = O(N/log3/4−o(1) N).
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Sanders, T. On certain other sets of integers. JAMA 116, 53–82 (2012). https://doi.org/10.1007/s11854-012-0003-9
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DOI: https://doi.org/10.1007/s11854-012-0003-9